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Finding the Fourth Proportional to 644.32, 889.36 and 411.44

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Solution

The fourth proportional to 644.32, 889.36 and 411.44 is: 567.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.32 : 889.36 = 411.44 : x
  2. Step 2: Convert to fraction form
    644.32/889.36 = 411.44/x
  3. Step 3: Cross multiply
    644.32x = 889.36 × 411.44
  4. Step 4: Simplify right side
    644.32x = 365,916.22
  5. Step 5: Solve for x
    x = 365,916.22/644.32
  6. Step 6: Final answer
    x = 567.92

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.